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DENIUS [597]
3 years ago
9

If one of the exterior angles of a triangle is acute, then the triangle must be:

Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

acute

Step-by-step explanation:

Hope this helps

spayn [35]3 years ago
6 0

Answer:

A you can always tell by the measurements of it

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Factor: 4x^2-12x+9=0
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A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental
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Step-by-step explanation:

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5 0
3 years ago
Coras kitten weighs 1,200 grams. If he weighed 550 grams at the last visit to the veterans office, what percent is the increase
Juli2301 [7.4K]
First, find the different of the two weights
d = 1,200 - 550
d = 650

The different of the weights is 650

Second, to find the percentage, we should compare the difference to the former weight. So we compare 650 to 1,200, then multiply it to 100%
percentage = 650/1,200 × 100%
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8 0
3 years ago
1. Stephanie would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and se
Crazy boy [7]
Answers:

(a) p + m = 5
     0.8m = 2

(b) 2.5 lb peanuts and 2.5 lb mixture

Explanations:

(a) Note that we just need to mix the following to get the desired mixture:

     - peanut (p) - peanuts whose amount is p
     - mixture (m) - mixture (80% almonds and 20% peanuts) that has an amount of m; we denote this as

By mixing the peanuts (p) and the mixture (m), we combine their weights and equate it 5 since the mixture has a total of 5 lb.

Hence, 

p + m = 5

Note that the desired 5-lb mixture has 40% almonds. Thus, the amount of almonds in the desired mixture is 2 lb (40% of 5 lb, which is 0.4 multiplied by 5).

Moreover, since the mixture (m) has 80% almonds, the weight of almonds that mixture is 0.8m.

Since we mix mixture (m) with the pure peanut to get the desired mixture, the almonds in the desired mixture are also the almonds in the mixture (m). 
So, we can equate the amount of almonds in mixture (m) to the amount of almonds in the desired measure.

In terms mathematical equation,

0.8m = 2 

Hence, the system of equations that models the situation is 

p + m = 5
0.8m = 2

(b) To solve the system obtained in (a), we first label the equations for easy reference,

(1) p + m = 5
(2) 0.8m = 2

Note that using equation (2), we can solve the value of m by dividing both sides of (2) by 0.8. By doing this, we have

m = 2.5

Then, we substitute the value of m to equation (1) to solve for p:

p + m = 5
p + 2.5 = 5   (3)

To solve for p, we subtract both sides of equation (3) by 2.5. Thus,

p = 2.5

Hence, 

m = 2.5, p = 2.5

Therefore, the solution to the system is 2.5 lb peanuts and 2.5 lb mixture.  







 
7 0
3 years ago
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